We here compare the PNN and a well-known linear reconstruction method — Gappy POD [1]} for flow reconstruction, as presented in figure REF .
The present model outperforms Gappy POD at the same number of sensors \(n_{\rm sensor}=30\) . Even at \(n_{\rm sensor}=3800\) , the PNN exhibits a significant advantage, as observed through an \(L_1\)  norm comparison.
Note that the present model can provide confidence intervals for coefficient estimation as well (demonstrated in the following sections), in comparison to Gappy POD which is determinstic.
